Atlas923 of 3,942

I.B.21

m₃ = 0.5

From Li & Liao (2017)

I.B.21 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 27.891 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 16.78), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000806 of each other at a top speed of 129, line up 64 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 27.89089047
Masses: 1 : 1 : 0.5
Energy: -1.43180
Angular momentum: 0
Closest approach: 8.1×10⁻⁵
Top speed: 128.6
Path length: 70.072
Alignments per period: 64
Topology: ababAbABAbaBABabABAbAbabaBaBABabABAbaBABaB (free-group class)
Stability: unstable (|λ|max 16.78)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.